Details

Time bar (total: 31.6s)

sample55.0ms

Algorithm
intervals
Results
37.0ms311×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5002
41476
3358
294
132
015

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ PI (+ a b)) 2) a)
0.2b
(/ (/ (/ PI (+ a b)) 2) b)
0.3b
(/ PI (+ a b))
0.3b
(/ PI (+ a b))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
1092×times-frac
644×*-un-lft-identity
484×add-sqr-sqrt add-cube-cbrt
122×associate-/l*
80×distribute-lft-out
52×associate-/r/
36×div-inv
26×flip3-+ add-cbrt-cube add-exp-log flip-+
14×cbrt-undiv associate-/r* div-exp
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
Counts
4 → 574
Calls
4 calls:
57.0ms
(/ (/ (/ PI (+ a b)) 2) a)
48.0ms
(/ (/ (/ PI (+ a b)) 2) b)
12.0ms
(/ PI (+ a b))
33.0ms
(/ PI (+ a b))

series294.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ (/ (/ PI (+ a b)) 2) a)
85.0ms
(/ (/ (/ PI (+ a b)) 2) b)
66.0ms
(/ PI (+ a b))
68.0ms
(/ PI (+ a b))

simplify2.8s

Counts
586 → 586
Iterations
IterNodes
done5001
24922
11841
0812

prune3.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ PI (+ a b)) 2) a)
0.2b
(/ (/ (/ 1 (+ a b)) 2) b)
0.2b
(* PI (/ (/ (/ 1 (+ a b)) 2) b))
0.3b
(/ PI (+ a b))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
1533×times-frac
871×*-un-lft-identity
682×add-sqr-sqrt
664×add-cube-cbrt
178×associate-*r*
119×associate-/l*
103×distribute-lft-out
68×associate-/r/
52×add-exp-log
48×div-inv
38×add-cbrt-cube
34×flip3-+ flip-+
29×div-exp
19×cbrt-undiv
10×associate-/r*
6×pow1 prod-exp
5×unswap-sqr
4×cbrt-unprod insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l*
2×rec-exp 1-exp associate-/l/
1×pow-prod-down associate-*r/ *-commutative
Counts
4 → 749
Calls
4 calls:
72.0ms
(/ (/ (/ PI (+ a b)) 2) a)
71.0ms
(/ (/ (/ 1 (+ a b)) 2) b)
106.0ms
(* PI (/ (/ (/ 1 (+ a b)) 2) b))
23.0ms
(/ PI (+ a b))

series302.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ (/ (/ PI (+ a b)) 2) a)
57.0ms
(/ (/ (/ 1 (+ a b)) 2) b)
85.0ms
(* PI (/ (/ (/ 1 (+ a b)) 2) b))
57.0ms
(/ PI (+ a b))

simplify2.6s

Counts
761 → 761
Iterations
IterNodes
done5001
12702
01097

prune4.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ PI (+ a b)) 2) a)
0.2b
(* (/ (/ PI (+ a b)) 2) (/ 1 b))
0.3b
(/ PI (+ a b))
0.3b
(/ PI (+ a b))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
672×times-frac
412×*-un-lft-identity
333×add-sqr-sqrt
303×add-cube-cbrt
64×associate-/l*
58×associate-*l*
56×add-exp-log
53×distribute-lft-out
38×add-cbrt-cube
34×associate-/r/
26×div-exp
24×div-inv
17×cbrt-undiv flip3-+ flip-+
13×associate-*r*
12×prod-exp
11×associate-/r*
9×unswap-sqr
6×pow1 cbrt-unprod
4×insert-posit16 add-log-exp
3×rec-exp clear-num frac-2neg 1-exp
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative associate-/l/
Counts
4 → 433
Calls
4 calls:
58.0ms
(/ (/ (/ PI (+ a b)) 2) a)
89.0ms
(* (/ (/ PI (+ a b)) 2) (/ 1 b))
20.0ms
(/ PI (+ a b))
30.0ms
(/ PI (+ a b))

series319.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (/ (/ PI (+ a b)) 2) a)
88.0ms
(* (/ (/ PI (+ a b)) 2) (/ 1 b))
64.0ms
(/ PI (+ a b))
72.0ms
(/ PI (+ a b))

simplify1.6s

Counts
445 → 445
Iterations
IterNodes
done5000
11677
0639

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ 1 (/ (+ a b) PI)) 2) b)
0.2b
(/ 1 (/ (+ a b) PI))
0.3b
(/ (+ a b) PI)
0.3b
(/ PI (+ a b))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
2253×times-frac
1199×*-un-lft-identity
943×add-sqr-sqrt add-cube-cbrt
173×associate-/l*
128×distribute-lft-out
60×div-inv
47×add-exp-log
31×div-exp
27×add-cbrt-cube
26×associate-/r*
15×cbrt-undiv associate-/r/
5×pow1
4×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
3×associate-/l/
2×flip3-+ flip-+
1×pow-flip inv-pow
Counts
4 → 836
Calls
4 calls:
88.0ms
(/ (/ (/ 1 (/ (+ a b) PI)) 2) b)
28.0ms
(/ 1 (/ (+ a b) PI))
26.0ms
(/ (+ a b) PI)
20.0ms
(/ PI (+ a b))

series288.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (/ (/ 1 (/ (+ a b) PI)) 2) b)
74.0ms
(/ 1 (/ (+ a b) PI))
70.0ms
(/ (+ a b) PI)
63.0ms
(/ PI (+ a b))

simplify3.0s

Counts
848 → 848
Iterations
IterNodes
done5000
12984
01347

prune5.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done35
435
332
230
126
017

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s9615×body80valid